Simplify the polynomials

(5g4 + 2g3 + 4g + 2) + (3g4 – 8g3 + g + 2)

adding like powers, we get

8g^4 - 6g^3 + 5g + 4

not sure what you mean by "simplifying" the polynomials. They are polynomials.

Online "^" is used to indicate and exponent, e.g., x^2 = x squared.

8g^4 -6g^3 + 5g + 4

To simplify the given polynomial expression, you need to add or subtract like terms. Like terms are terms that have the same variable(s) raised to the same power(s).

In this case, you have two expressions being added together, so start by organizing the terms with the same powers of 'g' together.

(5g^4 + 2g^3 + 4g + 2) + (3g^4 – 8g^3 + g + 2)

Combine the like terms in each set of parentheses:

(5g^4 + 3g^4) + (2g^3 – 8g^3) + (4g + g) + (2 + 2)

Next, add or subtract the coefficients of each term:

8g^4 – 6g^3 + 5g + 4

Therefore, the simplified form of the given polynomial expression is 8g^4 – 6g^3 + 5g + 4.